2201874554880 has 4032 divisors, whose sum is σ = 11314643977728. Its totient is φ = 397494190080.

The previous prime is 2201874554861. The next prime is 2201874555031. The reversal of 2201874554880 is 884554781022.

2201874554880 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 8 + 7 + 4 + 554 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 129522032632 + ... + 129522032648.

It is an arithmetic number, because the mean of its divisors is an integer number (2806211304).

Almost surely, 2^{2201874554880} is an apocalyptic number.

2201874554880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201874554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657321988864).

2201874554880 is an abundant number, since it is smaller than the sum of its proper divisors (9112769422848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2201874554880 is a wasteful number, since it uses less digits than its factorization.

2201874554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 2201874554880 in words is "two trillion, two hundred one billion, eight hundred seventy-four million, five hundred fifty-four thousand, eight hundred eighty".